GCF (HCF) of 54 and 48

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What is the Greatest Common Divisor of 54 and 48?

Answer

GCF (HCF) of 54 and 48 is
6

Common factors: 1, 2, 3, 6

6 divides both: 54 ÷ 6 = 9, 48 ÷ 6 = 8 — and 9 and 8 share no factor but 1, so no larger number divides both.

54 = 2 × 33

48 = 24 × 3

Prime5448Lowest power
22242
33333

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
54333
54342
54351
543618
54371
54382
54393
54402
54411
54426
54431
54442
54459
54462
54471
54486
54491
54502
54513
54522
54531
545454
54551
54562
54573
54582
54591
54606
54611
54622

FAQ

What is the Greatest Common Divisor of 54 and 48?

GCF (HCF) of 54 and 48 is 6

How to find the GCF of 54 and 48?

You can find the GCF of 54 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 48 is 6.

What prime factors do 54 and 48 share?

The prime factorizations of 54 and 48 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 54/48?

Divide the numerator and the denominator by the GCF 6: 54 ÷ 6 = 9 and 48 ÷ 6 = 8. So 54/48 in lowest terms is 9/8.

See Also